128Cs as the best example revealing chiral symmetry breaking

The results of the Doppler-shift attenuation method lifetime measurements in partner bands of 128Cs and 132La are presented. Experimental reduced transition probabilities in 128Cs are compared with theoretical calculations done in the frame of the core-quasiparticle coupling model. The electromagnetic properties, energy and spin of levels belonging to the partner bands show that 128Cs is the best known example revealing the chiral symmetry breaking phenomenon.     

New bands and spin-parity assignments in 111Ru

The ¹¹¹Ru nucleus, populated in the spontaneous fission of ²⁴⁸Cm has been studied by means of prompt gamma spectroscopy using the EUROGAM2 array. Spin and parity assignments, based on angular correlations, linear polarization, and conversion coefficient measurements differ from those available in the literature. New bands are reported, which incorporate transitions seen previously but not placed in the scheme of ¹¹¹Ru or placed incorrectly. The bands are interpreted as neutron excitations into subshells originating predominantly from the h _11/2, g _7/2 and s _1/2 spherical orbitals. The s _1/2 band, strongly mixed with the d _3/2, d _5/2 and g _7/2 configurations, is observed for the first time in this region.PACS: 23.20.Lv transitions and level energies - 21.60.Cs Shell model - 25.85.Ca Spontaneous fission - 27.60. + j      

Zur Gamma- und Röntgenstrahlung von Holmium-164

The photon spectrum in the decay of¹⁶⁴Ho was investigated using a high resolution solid state detector separating theK-X-rays of Dy, Ho and Er. The two γ-rays depopulating the 3⁺ and 2⁺ levels in¹⁶⁴Ho were found to have energies of 56.6 and 37.3 keV. The 91.4 keV radiation of Er from our sample seems to have a non resolved high energy component with about 2.5% intensity. It may be due to the cross-over transition 3⁺→1⁺ or a sum line. The half-life of the isomeric state of¹⁶⁴Ho was found to be 36.7 ± 1 min. The total transition rates between different levels were calculated from the measured photon intensities. The fraction 0.27 found in the branching of thee ^?-capture feeding the 2⁺-state of Dy has nearly the same value as the analog branching in the β^?-decay. Combining the measured complex ground state decay curve and the transition intensities of the isomeric and of the ground state the ground state half-live can be deduced and was found to be (28.1 ± 1.0) min. The corresponding ratio of the ground state and the isomeric state production rates is 2.8₄:1. A ratio of 0.04 was found for the cross section of¹⁶⁵Ho (γ, 3n),¹⁶²Ho and¹⁶⁵Ho (γ,n)¹⁶⁴Ho for a 90 MeV bremsspectrum.     

Collective quadrupole dynamics and the band structure of the nucleus 127Cs

Excited states of ¹²⁷₅₅Cs were populated in the ¹²⁷I(α, 4n)¹²⁷Cs reaction. Singles, prompt and delayed γ-ray spectra, γγ coincidence spectra, angular distributions and excitation functions were measured, and negative and positive parity bands established. The h_{$\text{11}\text{2}$} families of excited levels in ^{127, 129}Cs and ¹³³La were reproduced by core-particle coupling calculations, regardless of whether the cores were taken to be rigid triaxial rotors or to have all five quadrupole degrees of freedom. The hamiltonians for the latter case were based on microscopic calculations which attribute an important role to the γ-dependence of the mass functions for collective quadrupole motion. From a core-quasiparticle analysis of the positive-parity levels in ¹²⁷Cs, indications of a “Coriolis attenuation” anomaly were inferred.     

On full groups of measure-preserving and ergodic transformations with uncountable cofinalities

The group of all measure-preserving permutations of the unitinterval and the full group of an ergodic transformation ofthe unit interval are shown to have uncountable cofinality andthe Bergman property. Here, a group G is said to have the Bergmanproperty if, for any generating subset E of G, some boundedpower of EE^–1{1} already covers G. This property arosein a recent interesting paper of Bergman, where it was derivedfor the infinite symmetric groups. We give a general sufficientcriterion for groups G to have the Bergman property. We showthat the criterion applies to a range of other groups, includingsufficiently transitive groups of measure-preserving, non-singular,or ergodic transformations of the reals; it also applies tolarge groups of homeomorphisms of the rationals, the irrationals,or the Cantor set.     

Normal Subgroups of B u Aut(Ω)

Aut(Ω) denotes the group of all order preserving permutations of the totally ordered set Ω, and if e ≤ u ∈ Aut(Ω), then B _u Aut(Ω) denotes the subgroup of all those permutations bounded pointwise by a power of u. It is known that if Aut(Ω) is highly transitive, then Aut(Ω) has just five normal subgroups. We show that if Aut(Ω) is highly transitive and u has just one interval of support, then B _u Aut(Ω) has normal subgroups, and there is a certain ideal of the lattice of subsets of (), the power set of the integers, such that the lattice of normal subgroups of every such Aut(Ω) is isomorphic to . To Bernhard Banaschewski on the occasion of his 80th birthday.     

Stabilizers of direct composition series

Let R be a domain, V a left R-module, and ${\mathcal{L}}$ a composition series of direct summands of V. Our main results show that if U is a stabilizer group of ${\mathcal{L}}$ containing the McLain-group associated with ${\mathcal{L}}$ , then U determines the chain ( ${\mathcal{L}, \subseteq}$ ) uniquely up to isomorphism or anti-isomorphism.     

Beitrag zum Divisionsproblem for Ultradistributionen und ein Fortsetzungssatz

In this note we give a characterization of ultradistributions, which are supported by a single point. As a consequence we get a necessary condition for the solvability of the division problem for ultradistributions similar to the well-known condition in the case of distributions (cf. Malgrange [12]).Finally an extension theorem for ultradistributions is proved, using exponential growth conditions, that generalize the condition of Lojasiewicz [11].